1409975424 has 384 divisors, whose sum is σ = 4958815680. Its totient is φ = 393154560.

The previous prime is 1409975383. The next prime is 1409975429. The reversal of 1409975424 is 4245799041.

1409975424 is a `hidden beast` number, since 14 + 0 + 9 + 97 + 542 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a self number, because there is not a number n which added to its sum of digits gives 1409975424.

It is not an unprimeable number, because it can be changed into a prime (1409975429) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4447714 + ... + 4448030.

Almost surely, 2^1409975424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1409975424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2479407840).

1409975424 is an abundant number, since it is smaller than the sum of its proper divisors (3548840256).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1409975424 is a wasteful number, since it uses less digits than its factorization.

1409975424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 346 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 1409975424 is about 37549.6394656460. The cubic root of 1409975424 is about 1121.3396554745.

The spelling of 1409975424 in words is "one billion, four hundred nine million, nine hundred seventy-five thousand, four hundred twenty-four".